He claimed the warnings had been passed onto the DfE around four years ago.

The comments prompted claims from Labour that the Coalition “refused to listen” to warnings.

Tristram Hunt, the Shadow Education Secretary, said: “This is gross negligence on the part of ministers.”

But the DfE said the meeting with Mr Boyes was a "general policy discussion".

"There is absolutely no place for extremism in schools and this government has taken a number of significant steps to combat it,” a spokesman said.

"This meeting took place at the same time as the department was enhancing our due diligence and counter-extremism capability to make schools more aware of risks and to protect children.”

The comments follow a series of exposés by The Telegraph which disclosed how a “Trojan Horse” plot in Birmingham had put schools under pressure illegally to segregate classrooms and change teaching to reflect radical Islamic beliefs.

Ofsted is expected to publish reports into 21 Birmingham schools in coming weeks.

Mr Boyes – whose school is not being inspected by Ofsted – told the BBC that he gave the department a presentation about the same threat in 2010.

"Back in 2010, I had a whole series of colleagues, other head teachers, who were reporting concerns about governance and things that weren't going well in their schools,” he said.

Slides from the presentation described "staff and governors in an alliance to destabilise the head" at one secondary school, he said.

At another secondary school it was claimed there was a plot to remove the head teacher, Mr Boyes claimed.

"Two governors with disproportionate impact… want to remove the head to have a Muslim head... [they are] working to undermine him. A known explicit intention the head lives with."